Gauge Fields, Membranes, and Subdeterminant Vector Models

Files

TR Number

Date

2010-06-01

Journal Title

Journal ISSN

Volume Title

Publisher

American Physical Society

Abstract

We present a class of classically marginal N-vector models in d = 4 and d = 3 whose scalar potentials can be written as subdeterminants of symmetric matrices. The d = 3 case can be thought of as a generalization of the scalar sector of the Bagger-Lambert- Gustavsson model. Using the Hubbard-Stratonovich transformation we calculate their effective potentials which exhibit intriguing large-N scaling behaviors. We comment on the possible relevance of our models to strings, membranes, and also to a class of novel spin systems that are based on ternary commutation relations.

Description

Keywords

m2 branes, d3-branes, Physics

Citation

Leigh, Robert G. ; Mauri, Andrea ; Minic, Djordje ; et al., Jun 1, 2010. “Gauge Fields, Membranes, and Subdeterminant Vector Models,” PHYSICAL REVIEW LETTERS 104(22): 221801. DOI: 10.1103/PhysRevLett.104.221801